Diophantine approximation with partial sums of power series (Q2868210)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Diophantine approximation with partial sums of power series |
scientific article; zbMATH DE number 6238628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diophantine approximation with partial sums of power series |
scientific article; zbMATH DE number 6238628 |
Statements
Diophantine approximation with partial sums of power series (English)
0 references
16 December 2013
0 references
power series
0 references
continued fractions
0 references
partial sums
0 references
convergents
0 references
The authors compare partial sums of power series of functions with the convergents in their continued fraction algorithm. In the paper it is shown, that the partial sums seldom coincide with the convergents.NEWLINENEWLINEThe authors conjecture that in most cases there are only a finite number of partial sums coinciding with convergents.NEWLINENEWLINEThe authors give quantitative statements about this phenomena.NEWLINENEWLINEThis type of result is a completely new approach in the theory of Diophantine approximations.
0 references
